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Finite Groups With Many Product Conjugacy Classes

Group Theory 2007-05-23 v2

Abstract

We classify all finite groups G such that the product of any two non-inverse conjugacy classes of G is always a conjugacy class of G. We also classify all finite groups G for which the product of any two G-conjugacy classes which are not inverse modulo the center of G is again a conjugacy class of G.

Keywords

Cite

@article{arxiv.math/0509017,
  title  = {Finite Groups With Many Product Conjugacy Classes},
  author = {Everett C. Dade and Manoj K. Yadav},
  journal= {arXiv preprint arXiv:math/0509017},
  year   = {2007}
}

Comments

I withdraw this paper from arXiv, because it has been published in Israel Journal of Mathematics